CAT Practice : Mensuration

You are here: Home  CAT Questionbank   CAT Quant  Geometry: Mensuration  Question 10
This is one of the questions which looks difficult on first look but with a little visualization and concept, can be cracked in a minute. This kind of question is more likely to appear in CAT.

Spheres and Cubes

    Q.10: A spherical shaped sweet is placed inside a cube of side 5 cm such that the sweet just fits the cube. A fly is sitting on one of the vertices of the cube. What is the shortest distance the fly must travel to reach the sweet?
    1. 2.5 cm
    2. 5(√3 – 1) cm
    3. 5(√2 – 1) cm
    4. 2.5(√3 – 1) cm

 

  • Correct Answer
    Choice D. 2.5(√3 – 1) cm

Detailed Solution

Diagram :



The question demands visualization. The shortest distance required to be travelled by the fly would be diagonally and be given by:-

Distance =

= (Since diagonal of the cube is given as √3 x l)

=

= 2.5(√3 – 1)

Choice (D) is therefore, the correct answer.

Correct Answer: 2.5(√3 – 1) cm



Our Online Course, Now on Google Playstore!

2IIM's App

Fully Functional Course on Mobile

All features of the online course, including the classes, discussion board, quizes and more, on a mobile platform.


Cache Content for Offline Viewing

Download videos onto your mobile so you can learn on the fly, even when the network gets choppy!

Get it on Google Play

More questions from Mensuration

  1. Cone and Frustum
  2. Spheres
  3. Circles and Chords
Mensuration is the science of measurement. Cylinders, cones, cuboids, rectangular parallelopipeds etc.